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The Length of the Perpendicular Drawn from the Point P(A, B, C) from Z-axis is

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Question

The length of the perpendicular drawn from the point P(a, b, c) from z-axis is 

Options

  • \[\sqrt{a^2 + b^2}\] 

  • \[\sqrt{b^2 + c^2}\] 

  • \[\sqrt{a^2 + c^2}\]

  •  \[\sqrt{a^2 + b^2 + c^2}\]

MCQ
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Solution

The length of the perpendicular drawn from the point P(x, y, z) from z-axis is given by \[\sqrt{y^2 + x^2}\] Thus, the length of the perpendicular drawn from the point P(a, b, c) from z-axis is \[\sqrt{a^2 + b^2}\] 

Hence, the correct answer is option (a)

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Chapter 28: Introduction to three dimensional coordinate geometry - Exercise 28.5 [Page 23]

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R.D. Sharma Mathematics [English] Class 11
Chapter 28 Introduction to three dimensional coordinate geometry
Exercise 28.5 | Q 15 | Page 23

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